199895904 has 216 divisors, whose sum is σ = 648852120. Its totient is φ = 59844096.

The previous prime is 199895881. The next prime is 199895909. The reversal of 199895904 is 409598991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

199895904 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199895909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5402574 + ... + 5402610.

It is an arithmetic number, because the mean of its divisors is an integer number (3003945).

Almost surely, 2^199895904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199895904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324426060).

199895904 is an abundant number, since it is smaller than the sum of its proper divisors (448956216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199895904 is a wasteful number, since it uses less digits than its factorization.

199895904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 199895904 is about 14138.4547953445. The cubic root of 199895904 is about 584.7020705181.

Multiplying 199895904 by its sum of digits (54), we get a square (10794378816 = 103896²).

199895904 divided by its sum of digits (54) gives a square (3701776 = 1924²).

The spelling of 199895904 in words is "one hundred ninety-nine million, eight hundred ninety-five thousand, nine hundred four".